268101306225 has 27 divisors (see below), whose sum is σ = 480213140043. Its totient is φ = 142983221040.

The previous prime is 268101306191. The next prime is 268101306229. The reversal of 268101306225 is 522603101862.

The square root of 268101306225 is 517785.

It is a perfect power (a square), and thus also a powerful number.

268101306225 is a `hidden beast` number, since 2 + 6 + 8 + 10 + 13 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96516470241 + 171584835984 = 310671^2 + 414228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-268101306225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268101306225.

It is not an unprimeable number, because it can be changed into a prime (268101306229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7749516 + ... + 7784034.

Almost surely, 2^268101306225 is an apocalyptic number.

268101306225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268101306225 is the 517785-th square number.

268101306225 is the 258893-rd centered octagonal number.

It is an amenable number.

268101306225 is a deficient number, since it is larger than the sum of its proper divisors (212111833818).

268101306225 is an frugal number, since it uses more digits than its factorization.

268101306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69054 (or 34527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 268101306225 by its sum of digits (36), we get a square (9651647024100 = 3106710²).

The spelling of 268101306225 in words is "two hundred sixty-eight billion, one hundred one million, three hundred six thousand, two hundred twenty-five".